What is the formula for calculating the deflection of a simply supported beam wi
Practice Questions
Q1
What is the formula for calculating the deflection of a simply supported beam with a point load at the center?
PL^3 / 48EI
PL^3 / 12EI
PL^3 / 24EI
PL^3 / 36EI
Questions & Step-by-Step Solutions
What is the formula for calculating the deflection of a simply supported beam with a point load at the center?
Step 1: Identify the parameters needed for the formula: P (point load), L (length of the beam), E (modulus of elasticity of the material), and I (moment of inertia of the beam's cross-section).
Step 2: Understand the formula for deflection: δ = PL^3 / 48EI.
Step 3: Plug in the values for P, L, E, and I into the formula.
Step 4: Calculate L^3 (length cubed).
Step 5: Multiply P by L^3.
Step 6: Multiply E by I.
Step 7: Divide the result from Step 5 by the result from Step 6, and then by 48 to find the deflection δ.
